Glasnik matematički, Vol. 39 No. 1, 2004.
Original scientific paper
Loewner chains and parametric representation of biholomorphic mappings in complex Banach spaces
Hidetaka Hamada
Gabriela Kohr
Abstract
Let X be a complex Banach space and let B be the unit ball of X. In this paper we obtain sufficient conditions for biholomorphic mappings on B to have parametric representation. Also we study certain properties of Loewner chains, and we obtain infinite dimensional versions of some well known univalence criteria on the unit ball of .
Keywords
Biholomorphic mapping; Loewner chains; parametric representation; univalence criteria
Hrčak ID:
1263
URI
Publication date:
1.6.2004.
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